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Finding the Third Proportional to 144,046 and 227,908.50

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Solution

The third proportional to 144,046 and 227,908.50 is: 360,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,046 : 227,908.50 = 227,908.50 : x
  2. Step 2: Convert to fraction form
    144,046/227,908.50 = 227,908.50/x
  3. Step 3: Cross multiply
    144,046x = 227,908.50 × 227,908.50
  4. Step 4: Simplify right side
    144,046x = 51,942,284,372.25
  5. Step 5: Solve for x
    x = 51,942,284,372.25/144,046
  6. Step 6: Final answer
    x = 360,595.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.